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MathGroup Archive 1997

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Re: Help with GraphicsArray

  • To: mathgroup at smc.vnet.net
  • Subject: [mg9256] Re: [mg9109] Help with GraphicsArray
  • From: Allan Hayes <hay at haystack.demon.co.uk>
  • Date: Fri, 24 Oct 1997 01:01:09 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

Dr. Sergio Terrazas" <sterraza at campus.cdj.itesm.mx> [mg9109] Help with
GraphicsArray
writes

> I am having a problem with GraphicsArray.
> I want to display together a graphics object obtained with Plot
> and a DensityGraphics object obtained with DensityPlot. When I  
Mathematica > shows them together they are of diferent sizes, Even though
> they have the same dimensions in x and y and the ImageSize is the 
> same.

Sergio:
The problems with Graphics array seem to arise from the equal size   of
the display areas and the way in which graphics inside rectangles   are
squeezed in (retaining their own aspect ratio). There are also   some
problems with how ticks are included. I'll try to post a note   on this
stuff later.
Meanwhile, here is another approach, still using one rectangle,   that
you might like to experiment with:

Allan Hayes
hay at haystack.demon.co.uk
http://www.haystack.demon.co.uk/training.html voice:+44 (0)116 2714198
fax: +44 (0)116 2718642
Leicester,  UK


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Cell[BoxData[
    \(pot =
      \(\[Omega]\/\(2  \[Pi]\)\)
          \(\[Integral]\_0
              \%\(\(2  \[Pi]\)\/\[Omega]\)\(Sin[k\ x - \[Omega]\ t]\^2\)

              \[DifferentialD]t\) // Simplify\)], "Input"],

Cell[BoxData[
    \(\[Omega] = 2  \[Pi]; k = 1; pmax = 2; \[Lambda] = \(2   
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    P[x_, y_, t_] := pmax\ \ \((Sin[k\ x - \[Omega]\ t] + 1)\)\)],  
"Input"],

Cell["I have reduced PlotPints to speed up the computation.", "Text"],

Cell[BoxData[
    \(\(dens =
      DensityPlot[P[x, y, 0], {x, 0.1, 2  \[Lambda]}, {y, 4.1, 5},
        ColorFunction -> Hue\ , PlotPoints -> 15, Mesh -> False, \n\t\t\

        Frame -> False\ ]; \)\)], "Input"],

Cell[BoxData[
    \(graf =
      Plot[P[x, 0, 0], {x, 0, 2  \[Lambda]},
        PlotRange -> {{0, 2  \[Lambda]}, {0, 5}}]\)], "Input"],

Cell[BoxData[
    \(\(Show[Graphics[dens], graf, \ Frame\  -> True, \
      FrameTicks\  -> \ \n\t{Automatic, \ {0, 1, 2, 3, 4}, None, None}, 
      AspectRatio -> Automatic]; \)\)], "Input"],

Cell["\<\
You can set AspectRatio to whatever you want -- or just leave it \ out.\
\>", "Text"]
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